Lots of activated charcoal does help to an extent, which is a standard for filters. The more, the better, which inevitably slows the water to a trickle. I use a kichu water filter(1) in an old Brita, but I have had my eye on an a glass dafi pitcher which should hold it aa well. I pack it full, and let it sit for a day if possible - then dump it in another glass pitcher with a little charcoal stick inside that.
https://kishucharcoal.com/shop/brita-reuseable-filter-501/
As the sibling says, reverse osmosis is the best.